inflection (x^2-9)^6

Lösung

wendepunkte

(x^{2} - 9)^{6}

(- \frac{3}{11}, \frac{9 0 ^{6}}{1771561}), (\frac{3}{11}, \frac{9 0 ^{6}}{1771561})

Schritte zur Lösung

f^{''} (x) = 12 ((x^{2} - 9)^{5} + 10 x^{2} (x^{2} - 9)^{4})

Intervalle finden:

Konkav steigend

: - \infty < x < - 3,

Konkav steigend

: - 3 < x < - \frac{3}{11},

Konkav fallend

: - \frac{3}{11} < x < \frac{3}{11},

Konkav steigend

: \frac{3}{11} < x < 3,

Konkav steigend

: 3 < x < \infty

Stecke

x = - \frac{3}{11}

(x^{2} - 9)^{6} : \frac{9 0 ^{6}}{1771561}

(- \frac{3}{11}, \frac{9 0 ^{6}}{1771561})

Stecke

x = \frac{3}{11}

(x^{2} - 9)^{6} : \frac{9 0 ^{6}}{1771561}

(\frac{3}{11}, \frac{9 0 ^{6}}{1771561})

(- \frac{3}{11}, \frac{9 0 ^{6}}{1771561}), (\frac{3}{11}, \frac{9 0 ^{6}}{1771561})

in t erce pt s x^{4}

in f l ec t i o n f (x) = 2 x^{3} - 24 x - 6

in v erse \frac{e ^{y} + e ^{- y}}{2}

d o main f (x) = \frac{2 x + 1}{x ^{2} + 5 x + 4}

d o main \frac{1}{x ^{2} - 4}